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Vector Algebra question

2024 · 9 Apr · Shift 1 · Q50

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JEE Main
Mathematics
Vector Algebra
2024 · 9 Apr · Shift 1 · Q50

Vector Algebra question

2024 · 9 Apr · Shift 1 · Q50

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow{O A}=2 \vec{a}, \overrightarrow{O B}=6 \vec{a}+5 \vec{b}

and

\overrightarrow{O C}=3 \vec{b}

, where

O

is the origin. If the area of the parallelogram with adjacent sides

\overrightarrow{O A}

and

\overrightarrow{O C}

is 15 sq. units, then the area (in sq. units) of the quadrilateral

O A B C

is equal to:

A
32
B
38
C
35
D
40

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